Finding the Third Proportional to 5,730.75 and 12,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,730.75 : 12,541.50 = 12,541.50 : x
2. Step 2: Convert to fraction form
   5,730.75/12,541.50 = 12,541.50/x
3. Step 3: Cross multiply
   5,730.75x = 12,541.50 × 12,541.50
4. Step 4: Simplify right side
   5,730.75x = 157,289,222.25
5. Step 5: Solve for x
   x = 157,289,222.25/5,730.75
6. Step 6: Final answer
   x = 27,446.53